document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105399>Question 1105399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider a three dimensional parallelpiped with width W, length l, and height h, given that the surface area of this parallelpiped is equal to a fixed value S, determine the section of parameters W, l and h so that the parallelpiped encloses the largest volume. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720222 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52937)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720222\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "At given surface area S the parallelepiped enclosed the largest volume is the cube with the sides \r<BR>\n" );
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document.write( "W = L = H = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28S%2F6%29 ALIGN=MIDDLE  ALT=\"sqrt%28S%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "For very short and straightforward derivation/proof of this fact see the text under the link\r<BR>\n" );
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document.write( "<A  rel=nofollow HREF=https://math.stackexchange.com/questions/2428174/rectangular-parallelepiped-of-greatest-volume-for-a-given-surface-area-s>https://math.stackexchange.com/questions/2428174/rectangular-parallelepiped-of-greatest-volume-for-a-given-surface-area-s</A>\r<BR>\n" );
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document.write( "https://math.stackexchange.com/questions/2428174/rectangular-parallelepiped-of-greatest-volume-for-a-given-surface-area-s\r<BR>\n" );
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document.write( "written by Christian Blatter.\r<BR>\n" );
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